Orbifold Resolution by D-Branes

Abstract

We study topological properties of the D-brane resolution of three-dimensional orbifold singularities, C^3/Gamma, for finite abelian groups Gamma. The D-brane vacuum moduli space is shown to fill out the background spacetime with Fayet--Iliopoulos parameters controlling the size of the blow-ups. This D-brane vacuum moduli space can be classically described by a gauged linear sigma model, which is shown to be non-generic in a manner that projects out non-geometric regions in its phase diagram, as anticipated from a number of perspectives.

26 pages, 2 figures (TeX, harvmac big, epsf)

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• D-branes and Matrix Theory in Curved Space
• Zero and One-dimensional Probes with N=8 Supersymmetry
• McKay correspondence
• Enhanced Gauge Symmetry in M(atrix) Theory
• Issues in M(atrix) Theory Compactification
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